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Statistical Mechanics Of Superconductivity
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Book Synopsis Statistical Mechanics of Superconductivity by : Takafumi Kita
Download or read book Statistical Mechanics of Superconductivity written by Takafumi Kita and published by Springer. This book was released on 2015-05-05 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a theoretical, step-by-step comprehensive explanation of superconductivity for undergraduate and graduate students who have completed elementary courses on thermodynamics and quantum mechanics. To this end, it adopts the unique approach of starting with the statistical mechanics of quantum ideal gases and successively adding and clarifying elements and techniques indispensible for understanding it. They include the spin-statistics theorem, second quantization, density matrices, the Bloch–De Dominicis theorem, the variational principle in statistical mechanics, attractive interaction and bound states. Ample examples of their usage are also provided in terms of topics from advanced statistical mechanics such as two-particle correlations of quantum ideal gases, derivation of the Hartree–Fock equations, and Landau’s Fermi-liquid theory, among others. With these preliminaries, the fundamental mean-field equations of superconductivity are derived with maximum mathematical clarity based on a coherent state in terms of the Cooper-pair creation operator, a quasiparticle field for describing the excitation and the variational principle in statistical mechanics. They have the advantage that the phase coherence due to the Cooper-pair condensation can be clearly seen making the superfluidity comprehensible naturally. Subsequently, they are applied to homogeneous cases to describe the BCS theory for classic s-wave superconductors and its extension to the p-wave superfluidity of 3He. Later, the mean-field equations are simplified to the Eilenberger and Ginzburg–Landau equations so as to describe inhomogeneous superconductivity such as Abrikosov’s flux-line lattice concisely and transparently. Chapters provide the latest studies on the quasiclassical theory of superconductivity and a discovery of p-wave superfluidity in liquid 3He. The book serves as a standard reference for advanced courses of statistical mechanics with exercises along with detailed answers.
Book Synopsis Statistical Mechanics of Superconductivity by : Takafumi Kita
Download or read book Statistical Mechanics of Superconductivity written by Takafumi Kita and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a theoretical, step-by-step comprehensive explanation of superconductivity for undergraduate and graduate students who have completed elementary courses on thermodynamics and quantum mechanics. To this end, it adopts the unique approach of starting with the statistical mechanics of quantum ideal gases and successively adding and clarifying elements and techniques indispensible for understanding it. They include the spin-statistics theorem, second quantization, density matrices, the Bloch-De Dominicis theorem, the variational principle in statistical mechanics, attractive interaction, and bound states. Ample examples of their usage are also provided in terms of topics from advanced statistical mechanics such as two-particle correlations of quantum ideal gases, derivation of the Hartree-Fock equations, and Landau's Fermi-liquid theory, among others. With these preliminaries, the fundamental mean-field equations of superconductivity are derived with maximum mathematical clarity based on a coherent state in terms of the Cooper-pair creation operator, a quasiparticle field for describing the excitation, and the variational principle in statistical mechanics. They have the advantage that the phase coherence due to the Cooper-pair condensation can be clearly seen making the superfluidity comprehensible naturally. Subsequently, they are applied to homogeneous cases to describe the BCS theory for classic s-wave superconductors and its extension to the p-wave superfluidity of 3He. Later, the mean-field equations are simplified to the Eilenberger and Ginzburg-Landau equations so as to describe inhomogeneous superconductivity such as Abrikosov's flux-line lattice concisely and transparently. Chapters provide the latest studies on the quasiclassical theory of superconductivity and a discovery of p-wave superfluidity in liquid 3He. The book serves as a standard reference for advanced courses of statistical mechanics with exercises along with detailed answers.
Book Synopsis Quantum Statistical Theory of Superconductivity by : S. Fujita
Download or read book Quantum Statistical Theory of Superconductivity written by S. Fujita and published by Springer Science & Business Media. This book was released on 1996-11-30 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, Shigeji Fujita and Salvador Godoy guide first and second-year graduate students through the essential aspects of superconductivity. The authors open with five preparatory chapters thoroughly reviewing a number of advanced physical concepts-such as free-electron model of a metal, theory of lattice vibrations, and Bloch electrons. The remaining chapters deal with the theory of superconductivity-describing the basic properties of type I, type II compound, and high-Tc superconductors as well as treating quasi-particles using Heisenberg's equation of motion. The book includes step-by-step derivations of mathematical formulas, sample problems, and illustrations.
Book Synopsis Superconductivity, Superfluids and Condensates by : James F. Annett
Download or read book Superconductivity, Superfluids and Condensates written by James F. Annett and published by Oxford University Press. This book was released on 2004-03-25 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook series has been designed for final year undergraduate and first year graduate students, providing an overview of the entire field showing how specialized topics are part of the wider whole, and including references to current areas of literature and research.
Book Synopsis Superconductivity by : Kristian Fossheim
Download or read book Superconductivity written by Kristian Fossheim and published by John Wiley & Sons. This book was released on 2005-09-01 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superconductivity: Physics and Applications brings together major developments that have occurred within the field over the past twenty years. Taking a truly modern approach to the subject the authors provide an interesting and accessible introduction. Brings a fresh approach to the physics of superconductivity based both on the well established and convergent picture for most low-Tc superconductors, provided by the BCS theory at the microscopic level, and London and Ginzburg-Landau theories at the phenomenological level, as well as on experiences gathered in high-Tc research in recent years. Includes end of chapter problems and numerous relevant examples Features brief interviews with key researchers in the field A prominent feature of the book is the use of SI units throughout, in contrast to many of the current textbooks on the subject which tend to use cgs units and are considered to be outdated
Book Synopsis Formulation of Statistical Mechanics Based on Thermal Pure Quantum States by : Sho Sugiura
Download or read book Formulation of Statistical Mechanics Based on Thermal Pure Quantum States written by Sho Sugiura and published by Springer. This book was released on 2017-10-05 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis introduces the concept of "thermal pure quantum (TPQ) states", which are pure quantum states in equilibrium. The author establishes a new formulation of statistical mechanics based on the TPQ states. This formulation allows us to obtain not only mechanical variables but also thermodynamic variables such as entropy and free energy from a single TPQ state. Furthermore, the formulation provides a new physical description in which all fluctuations including thermally driven ones are uniquely identified to be quantum fluctuations. The use of TPQ formulation has practical advantages in its application to numerical computations and allows for significant reduction in computation cost in numerics. For demonstration purposes, a numerical computation based on TPQ formulation is applied to a frustrated two-dimensional quantum spin model, and the result is also included in this book.
Book Synopsis Theory Of Superconductivity by : J. Robert Schrieffer
Download or read book Theory Of Superconductivity written by J. Robert Schrieffer and published by CRC Press. This book was released on 2018-03-05 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Superconductivity is primarily intended to serve as a background for reading the literature in which detailed applications of the microscopic theory of superconductivity are made to specific problems.
Book Synopsis Models and Phenomenology for Conventional and High-Temperature Superconductivity by : Società italiana di fisica
Download or read book Models and Phenomenology for Conventional and High-Temperature Superconductivity written by Società italiana di fisica and published by IOS Press. This book was released on 1998 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for microscopic models to explain the many superconducting substances has introduced seminal concepts and techniques in many-body physics and in statistical mechanics. The complexity of the high-temperature superconductors has required a remarkable refinement of experimental techniques in order to allow a reliable characterization of the samples, and is partly the reason why so many different microscopic models have so far been proposed. This Enrico Fermi Course on Superconductivity was provided an up-to date presentation of selected experimental and theoretical theories on the (so called) conventional superconductivity and on the high temperature superconductivity. The attention was focused on those reliable measurements which are expected to provide the theory with key constraints, viz: Raman and Infrared Spectroscopy, Nuclear Spin Resonance, Angular Resolved Photoemission Spectroscopy, transport measurements, Josephson effect. The lectures devoted to the overview of the BCS theory and to the discussion of minimal models and of the crossover from BCS to Bose-Einstein condensation may be particularly useful. The remaining part of the program was shared between phonon and non-phonon based mechanisms. On the one hand, special emphasis has been devoted to the breakdown of the Migdal theorem and to polaronic theories. On the other, the book contains an overview of strongly correlated electron theories, including magnetic interactions. A survey of the physics of vortices completes the theoretical part of the lectures.
Book Synopsis Collected Papers of L.D. Landau by : D. Ter Haar
Download or read book Collected Papers of L.D. Landau written by D. Ter Haar and published by Elsevier. This book was released on 2013-10-22 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collected Papers of L. D. Landau brings together the collected papers of L. D. Landau in the field of physics. The discussion is divided into the following sections: low-temperature physics (including superconductivity); solid-state physics; plasma physics; hydrodynamics; astrophysics; nuclear physics and cosmic rays; quantum mechanics; quantum field theory; and miscellaneous works. Topics covered include the intermediate state of supraconductors; the absorption of sound in solids; the properties of metals at very low temperatures; and production of showers by heavy particles. This volume is comprised of 100 chapters and begins with Landau's paper on the theory of the spectra of diatomic molecules, followed by his studies on the damping problem in wave mechanics; quantum electrodynamics in configuration space; electron motion in crystal lattices; and the internal temperature of stars. Some of Landau's theories, such as those of stars, energy transfer on collisions, phase transitions, and specific heat anomalies are discussed. Subsequent chapters focus on the structure of the undisplaced scattering line; the transport equation in the case of Coulomb interactions; scattering of light by light; and the origin of stellar energy. This book will be a valuable resource for physicists as well as physics students and researchers.
Book Synopsis Modern Aspects Of Superconductivity: Theory Of Superconductivity (Second Edition) by : Sergei Kruchinin
Download or read book Modern Aspects Of Superconductivity: Theory Of Superconductivity (Second Edition) written by Sergei Kruchinin and published by World Scientific. This book was released on 2021-04-14 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to superconductivity, which is one of the most interesting problems in physics. In accordance with the outline of the book, it treats the key problems in the field of superconductivity, in particular, it discusses the mechanism(s) of superconductivity. This book is useful for researchers and graduate students in the fields of solid state physics, quantum field theory, and many-body theory.
Book Synopsis Statistical Mechanics Made Simple by : Daniel Charles Mattis
Download or read book Statistical Mechanics Made Simple written by Daniel Charles Mattis and published by World Scientific. This book was released on 2003 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary concepts in statistics and probability - The ising model and the lattice gas - Elements of thermodynamics - Statistical mechanics - The world of bosons - All about fermions : theories of metals, superconductors, semiconductors - Kinetic theory - The transfer matrix - Some uses of quantum field theory in statistical physics.
Book Synopsis Quantum Theory of Conducting Matter by : Shigeji Fujita
Download or read book Quantum Theory of Conducting Matter written by Shigeji Fujita and published by Springer Science & Business Media. This book was released on 2010-03-16 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Major superconducting properties including zero resistance, Meissner effect, sharp phase change, flux quantization, excitation energy gap, Josephson effects are covered and microscopically explained, using quantum statistical mechanical calculations. First treated are the 2D superconductivity and then the quantum Hall effects. Included are exercise-type problems for each section. Readers can grasp the concepts covered in the book by following the worked-through problems. Bibliographies are included in each chapter and a glossary and list of symbols are given in the beginning of the book. The book is based on the materials taught by S. Fujita for several courses in Quantum Theory of Solids, Advanced Topics in Modern Physics, and Quantum Statistical Mechanics.
Book Synopsis Statistical Mechanics: An Intermediate Course (2nd Edition) by : Elisa Ercolessi
Download or read book Statistical Mechanics: An Intermediate Course (2nd Edition) written by Elisa Ercolessi and published by World Scientific Publishing Company. This book was released on 2001-05-17 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the foundations of classical thermodynamics, with emphasis on the use of differential forms of classical and quantum statistical mechanics, and also on the foundational aspects. In both contexts, a number of applications are considered in detail, such as the general theory of response, correlations and fluctuations, and classical and quantum spin systems. In the quantum case, a self-contained introduction to path integral methods is given. In addition, the book discusses phase transitions and critical phenomena, with applications to the Landau theory and to the Ginzburg-Landau theory of superconductivity, and also to the phenomenon of Bose condensation and of superfluidity. Finally, there is a careful discussion on the use of the renormalization group in the study of critical phenomena.
Book Synopsis Quantum Statistical Mechanics: Selected Works Of N N Bogolubov by : Nickolai N Bogolubov Jr
Download or read book Quantum Statistical Mechanics: Selected Works Of N N Bogolubov written by Nickolai N Bogolubov Jr and published by World Scientific. This book was released on 2014-08-14 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we have solved the complicated problem of constructing upper bounds for many-time averages for the case of a fairly broad class of model systems with four-fermion interaction. The methods proposed in this book for solving this problem will undoubtedly find application not only for the model systems associated with the theory of superconductivity considered here. The theoretical methods developed in Chapters 1 and 2 are already applicable to a much broader class of model systems from statistical physics and the theory of elementary particles.
Book Synopsis Theory of Superconductivity by : John Markus Blatt
Download or read book Theory of Superconductivity written by John Markus Blatt and published by . This book was released on 1964 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum and Classical Statistical Mechanics by : N. N. Bogolubov
Download or read book Quantum and Classical Statistical Mechanics written by N. N. Bogolubov and published by CRC Press. This book was released on 1995-09-22 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Superconducting State by : Vladimir Kresin
Download or read book Superconducting State written by Vladimir Kresin and published by Oxford University Press. This book was released on 2021-05-24 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with a detailed theoretical treatment of the key mechanisms of superconductivity, up to the current state of the art (phonons, magnons, plasmons). In addition, the book describes the properties of key superconducting compounds that are of most interest for science and its applications today. For many years there has been a search for new materials with higher values of the main parameters, such as the critical temperature and the critical current. At present, the possibility to observe superconductivity at room temperature has become perfectly realistic. The book is especially concerned with high Tc systems, such as the high Tc oxides, hydrides with record values of the critical temperature under high pressure, nanoclusters, etc. A number of interesting novel superconducting systems have been discovered recently. Among them: topological materials, interface systems, intercalated graphene. The book contains rigorous derivations, based on statistical mechanics and many-body theory. The book is also providing qualitative explanations of the main concepts and results, which makes it accessible and interesting for a broader readership.
